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Based on the exteal field approach and the differential form of Ward identity, we derive a more compact formula for the particle-number susceptibility in QED3 at finite temperature. Using the zero frequency approximation the numerical value of the particle-number susceptibility is calculated in the Dyson-Schwinger approach for the casethat the number of fermion flavours equals one and two, respectively. An enhanced fluctuation of the particle-number density is observed across the transition temperature, which should be an essential characteristic of chiral phase transition in QED3.